Use the image to answer the question.
An illustration shows a parallelogram with the right side as 16 inches. A perpendicular dotted line from top right vertex to the left side is 12 inches. The perpendicular line makes one right angle symbol with right side and two right angle symbols with the left side.
What is the area of the quadrilateral?
The area of the quadrilateral is 192 square inches.
To find the area, we can use the formula A = bh, where A is the area, b is the base, and h is the height. We can find the base by adding the two adjacent sides of the parallelogram: 16 inches (right side) + 12 inches (dotted line) = 28 inches. The height is the length of the perpendicular line, which is 12 inches.
Therefore, A = (28 inches)(12 inches) = 336 square inches. However, we need to divide by 2 because the perpendicular line cuts the parallelogram into two triangles.
So the final area of the quadrilateral is A = 336 square inches รท 2 = 192 square inches.